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Finding the Fourth Proportional to 118,757.16, 178,131.42 and 35,649

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Solution

The fourth proportional to 118,757.16, 178,131.42 and 35,649 is: 53,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,757.16 : 178,131.42 = 35,649 : x
  2. Step 2: Convert to fraction form
    118,757.16/178,131.42 = 35,649/x
  3. Step 3: Cross multiply
    118,757.16x = 178,131.42 × 35,649
  4. Step 4: Simplify right side
    118,757.16x = 6,350,206,991.58
  5. Step 5: Solve for x
    x = 6,350,206,991.58/118,757.16
  6. Step 6: Final answer
    x = 53,472.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.